1312744320 has 384 divisors, whose sum is σ = 4918717440. Its totient is φ = 333932544.

The previous prime is 1312744309. The next prime is 1312744331. The reversal of 1312744320 is 234472131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1312744309) and next prime (1312744331).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576777 + ... + 3577143.

It is an arithmetic number, because the mean of its divisors is an integer number (12809160).

Almost surely, 2^1312744320 is an apocalyptic number.

1312744320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459358720).

1312744320 is an abundant number, since it is smaller than the sum of its proper divisors (3605973120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312744320 is an equidigital number, since it uses as much as digits as its factorization.

1312744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1312744320 is about 36231.8136449171. The cubic root of 1312744320 is about 1094.9477175263.

The spelling of 1312744320 in words is "one billion, three hundred twelve million, seven hundred forty-four thousand, three hundred twenty".